Abstract
SUMMARY Exact formulae of a general nature for the calculation of the effective diameter equivalent of flank angle errors for triangular screw threads with rounded roots and crests have been derived. The sign of individual flank angle errors has been taken into consideration, which lead to four possible cases of mating for each threaded element. Thus generalized formulae valid for all the cases of mating of a male or female element are deduced. Certain simplifications were introduced in the exact analysis which lead to a form more amenable for computation. Comparison of this latter form with other formulae in current use showed small divergences in the case of Whitworth threads but bigger divergences are expected in the case of threads with steeper flanks.
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